Standard CNN pipeline is a cross-lattice non-idempotent operator; three idempotent morphological layer designs are characterized using lattice adjunctions.
Morphological filters – Part I: their set-theoretic analysis and relations to linear shift-invariant filters,
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Lattice theory and algebraic models for deep convolutional learning based on mathematical morphology
Standard CNN pipeline is a cross-lattice non-idempotent operator; three idempotent morphological layer designs are characterized using lattice adjunctions.